Answer:
y = -3/1x + 2
Step-by-step explanation:
1. Find the slope
The points I will use are (-1,5) and (0,2), where x1 = -1, y1 = 5, x2 =0, and y2 =2.
y2-y1/x2-x1
2-5/0-(-1) = -3/1
2. Find the y-intercepy
y = mx + b
You can use any x or y point. I'll use (-1,5)
m= slope, which is -3/1
5= -3/1(-1) +b
5= 3 + b
Subtract 3 from 5 and 3 to get 2=b.
3. Rewrite in slope-intercept form
y = -3/1x + 2
The slope-intercept formula is y=mx+b
where m represents the slope and b represents the y-intercept
In this problem, 2 is the slope and -7 is the y-intercept.
Answer: a. -3(x+1), b. 19-3x, c. -9 and d. 13
Step-by-step explanation:
Lets begin with a. (fog)(x)=f(g(x))
=f(2x+x+7), Note that 2x+x+7=3x+7
=f(3x+7) (where there is x if the function f(x) we
substitute x by 3x+7)
=4-(3x+7) =4-3x-7=-3x-3= -3(x+1).
b. (gof)(x)=g(f(x))=g(4-x) (where there is x in the function
g(x) we substitute with 4-x)
= 3(4-x)+7 = 19-3x
c. (fog)(2) = -3(2+1) = -9 (we now substitute x with 2 in -3(x+1). )
d. (gof)(2) = 19-3(2)=19-6=13. (Again we now substitute x with
2 in 19-3x)
The data value 2.5 will lie below the second quartile
Answer:
c + 2g
Step-by-step explanation:
g + g = 2g
c + 2g